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January, 2007 Some Diophantine approximation inequalities and products of hyperbolic spaces
Toshiaki HATTORI
J. Math. Soc. Japan 59(1): 239-264 (January, 2007). DOI: 10.2969/jmsj/1180135509

Abstract

We find new generalizations of Dirichlet's theorem to real quadratic fields and quartic fields with two complex places, which are closely related to geometry of products of hyperbolic spaces.

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Toshiaki HATTORI. "Some Diophantine approximation inequalities and products of hyperbolic spaces." J. Math. Soc. Japan 59 (1) 239 - 264, January, 2007. https://doi.org/10.2969/jmsj/1180135509

Information

Published: January, 2007
First available in Project Euclid: 25 May 2007

zbMATH: 1221.11154
MathSciNet: MR2302671
Digital Object Identifier: 10.2969/jmsj/1180135509

Subjects:
Primary: 11J25
Secondary: 53C22

Keywords: diophantine approximation , Dirichlet's theorem , products of hyperbolic spaces , real quadratic field

Rights: Copyright © 2007 Mathematical Society of Japan

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Vol.59 • No. 1 • January, 2007
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